PES SS 1 Further Math Term 1 Test 3
  • 1. 1.Which of the following expressions is equivalent to x³×x⁴?
A) X¹²
B) X³+⁴
C) X⁷
D) X-¹
  • 2. 2 Simplify x⁶/x²
A) x-⁴
B) x⁸
C) x⁴
D) x³
  • 3. 3 Which expression represents (x⁴)³?
A) x⁴³
B) x¹²
C) x¹
D) x⁷
  • 4. 4 Simplify x−³×x⁵
A) x⁸
B) x-²
C) x²
D) x-¹⁵
  • 5. 5 Which expression is equivalent to (2³)⁴?
A) 2⁷
B) 2³⁴
C) 2²⁴
D) 2¹²
  • 6. 6 If log⁡2(8)=3, then 2³ equals:
A) 4
B) 8
C) 6
D) 16
  • 7. 7 Simplify (x²y³)²
A) x⁴y⁵
B) x⁴y⁶
C) x²y⁹
D) x⁵y⁶
  • 8. 8. If xn=1, what must be true about n?
A) n must be zero
B) n must be negatice
C) n must be positive
D) n can be any number
  • 9. 9. If a¹=n, then?
A) an=1
B) Log 1 base a =n
C) Log n base a =1
D) Log a base n=1
  • 10. 10. Surds are?
A) Cardinal numbers
B) Rational numbers
C) Portal numbers
D) Irrational numbers
  • 11. 11. √(m/n) equals?
A) √m/√n
B) √m ÷ n
C) √m × √n
D) 1/√n × √m
  • 12. 12. Simplify √75
A) 3√5
B) 5√3
C) 6√7
D) 9√2
  • 13. 13. Simplify √80
A) 4√5
B) 5√4
C) 5√3
D) 3√2
  • 14. 14. Similar surds are?
A) Surds that don't have square root
B) Surds that cannot be decided by each other
C) Surds that have the same roots
D) Surds that have the same number.
  • 15. 15. Which of the following surds cannot be rationalized?
A) 2/√3
B) √3/√2
C) 2/√2
D) √3/2
  • 16. 16. The conjugate of a+√b is?
A) a-√b
B) √b+a
C) a²-b
D) √a+√b
  • 17. 17. A binary operations combines?
A) No element
B) Two elements
C) Not specified
D) One element
  • 18. 18. A binary operations is commutative, if?
A) a*b=b*a
B) Null
C) a+b=a-b
D) a×b=a×b
  • 19. 19. A binary operation is associative, if?
A) (a*b)*c=a*(b*c)
B) a*b=a*(b*c)
C) c*a=a*b
D) a*b*c=a*c
  • 20. 20. The element which leaves other elements unchanged when used in a binary operation is called?
A) Zero element
B) Closure element
C) Identity element
D) Inverse
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